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The amplitude of a particle executing SH...

The amplitude of a particle executing SHM is made three-fourth keeping its time period constant. Its total energy will be

A

`E/2`

B

`(3)/(4)E`

C

`(9)/(16)E`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`E=(1)/(2) momega^(2)A^(2)`
As T=constant
`E prop A^(2) implies (E.)/(E)=(A^(.2))/(A^(2))implies E.=(E((3)/(4)A)^(2))/(A^(2))implies E.=(9E)/(16)`.
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